On the structure of the h-fold sumsets

Autor: Quan-Hui Yang, Jun-Yu Zhou
Rok vydání: 2021
Předmět:
Zdroj: Comptes Rendus. Mathématique. 359:493-500
ISSN: 1778-3569
Popis: Let~$A$ be a set of nonnegative integers. Let~$(h A)^{(t)}$ be the set of all integers in the sumset~$hA$ that have at least~$t$ representations as a sum of~$h$ elements of~$A$. In this paper, we prove that, if~$k \geq 2$, and~$A=\left\{a_{0}, a_{1}, \ldots, a_{k}\right\}$ is a finite set of integers such that~$0=a_{0}
Databáze: OpenAIRE